Answer
$x = ±2$
Work Step by Step
$10^{x^{2}-5} = 0.10$
$10^{x^{2}-5} = 10^{-1} $
$x^{2} - 5 = -1$
$x^{2} = -1 + 5$
$x^{2} = 4$
$x = ±\sqrt 4$
$x = ±2$
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